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Simplifying 0.333x + -0.5 = 0.833x Reorder the terms: -0.5 + 0.333x = 0.833x Solving -0.5 + 0.333x = 0.833x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.833x' to each side of the equation. -0.5 + 0.333x + -0.833x = 0.833x + -0.833x Combine like terms: 0.333x + -0.833x = -0.5x -0.5 + -0.5x = 0.833x + -0.833x Combine like terms: 0.833x + -0.833x = 0.000 -0.5 + -0.5x = 0.000 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.5x = 0.000 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.5x = 0.000 + 0.5 -0.5x = 0.000 + 0.5 Combine like terms: 0.000 + 0.5 = 0.5 -0.5x = 0.5 Divide each side by '-0.5'. x = -1 Simplifying x = -1
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